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Sentence Examples Probabilistic transitions are used to model the stochastic behavior of components, such as failure and intermittency. Survival decreases more steeply for rearmost positions due to stochastic factors differentially affecting mortality of subordinate sibs. The development of a coiled conch by only stochastic variation, or as a result of structural constraints alone, is considered highly improbable. In a Monte Carlo method, the quantity to be calculated is interpreted in a stochastic model and, subsequently, estimated by random sampling. The unexplained covariation, C stochastic, refers to the lack of fit of the data to the model. His research focuses on the interplay between fractal geometry and stochastic processes. Figure 10 is the stochastic critical path for a NASA space exploration mission. It was heavy duty mathematics at that, involving an obscure technique known as stochastic differential equations. Do not, however, wait for a crossover on the stochastic lines as the market will then already likely be in a free fall. For experimental purposes a population of stochastic hill-climbers is a genetic algorithm without crossover. The calculation of the tunneling probability can be carried out by considering a doubly stochastic process. He has written on stochastic geometry and its applications, and the statistical theory of shape. To model the stochastic yield conditioned upon N levels, we use a conditional beta distribution. If bulls push prices up during the day but cannot achieve a close near the top of the range, stochastic turns down and a sell signal is issued. Nevertheless, the question remains whether an exponent of 0.72 presents an unsurmountable difficulty for stochastic models as they claim. First, we briefly review the related literature, then present a simple binomial model under a stochastic volatility and jump economic world. However, there are regimes in which a process similar to stochastic resonance operates and amplifies pattern selectivity. After the stochastic cytoskeletal detachment event, the tether was found to extend according to a viscous shear-thinning rheological power-law model. The enzyme's angular torque profile under load can be gauged by measuring the average curvature and the stochastic fluctuations of actin filaments. Even though in an action-oriented setting the notion of a state is an auxiliary one, the analysis of stochastic process algebra models is usually carried out in a state-oriented fashion. Show More Sentences Ito's lemma, also known as the fundamental theorem of stochastic calculus, is the most commonly used result in continuous-time models. This paper proposes a novel probabilistic variational method with deterministic annealing for the maximum a posteriori estimation of complex stochastic systems. Great experience has been acquired in probability theory and stochastic processes theory. Combine this with stochastic screening and you get eye-popping colour and photographic quality. For example, a stochastic declining following the appearance of a hangman in a Volatile Market. Internal risk models could be much more comprehensive by using not only deterministic but also stochastic methods. Partial updates may cause ruptures in the compatibility or in its stochastic operation. This model is explicitly stochastic since it assumes that there is a distribution of potential wage offers for each worker. The model we used is a non-linear stochastic model, which allows us to control for environmental noise as well as density-dependent mortality. Based on normalized scale transform, a new method via averaged stochastic resonance is presented to enhance the result of rolling element bearing fault detection furtherly. In an economy in which the overall macro variable of real income is fixed or cyclical but individual shares are stochastic, a noninflationary equilibrium exists. In seismology, stochastic models can be used to describe velocity heterogeneities that are too small or too numerous to be described deterministically. We evaluated the viscoelastic dynamics of actin filaments under the influence of enzyme-generated torque, stochastic Langevin force, and viscous drag. The fact that the problem is stochastic means that the airline needs to work with expected values and probability distributions, which makes the optimisation harder to solve. By contrast, the oversold condition, in which the market is ready to turn up, is represented by the stochastic falling below its lower reference line. Their influence on stamping process robustness is quantifiable and predictable due to the combination of advanced stamping simulation techniques and stochastic integrated into the software. Debt managers thus complement the stochastic analysis by examining scenarios to evaluate the impact of specific interest rate shocks on debt costs. Notwithstanding the provisions incorporated for the stochastic model processes and parameter uncertainty, some residual model uncertainty remains. At the university he concentrated on stochastic and integer optimization. I would like to show you that such an approach, which can also be described as random or stochastic, is relatively new in our disciplines, both in terms of research programme and in terms of perspective for biology. Show More Sentences The third method, stochastic, provides considerably more pricing information and is explored at greater length. Although stochastic screening has been around for more than a decade, the largest growth appears to have occurred quite recently. The model is, therefore, not deterministic, as many previous colon cancer models are, but stochastic. Coalescent theory describes a stochastic model of how the ancestry of such genetic markers maps to the history of a population. Homogenization is reasonably well-understood when the underlying fast-slow system is itself stochastic. Even as putting forth the hypothesis that stochastic terms are not correlated, this value is nonconvergent. The underlying theoretical questions are related to the mathematical definition and quantification of metastability for stochastic processes. Among the topics are money and markets, set theory, expected values, continuity and integrability, Martingales, and stochastic integration. Building on Mr. van der Meer's work, Fermilab added stochastic cooling to its more powerful Tevatron collider, leading to the discovery in 1994 of the top quark, the final piece of matter in the Standard Model. This implies that if the forward and spot rates are cointegrated with cointegrating rank, then both the forward and spot rates have one common stochastic trend, because in the case of two-rate systems. The pricing and valuation of death benefit, maturity value and income guarantees associated with variable contracts employ stochastic modeling of future investment returns. Further, it permits stochastic estimation of the views of the latter group and an evaluation of whether the non-response is ignorable for inference about the dependent variable. How these components evolve in the future can be estimated based on stochastic or not stochastic models, which each country may adjust to its circumstances. First, the new area-wide model, a state-of-the-art dynamic stochastic general equilibrium model for the euro area, was further developed and will soon face its first tests with regard to forecast performance. How was stochastic variability accounted for in the rat and human studies? Because the VAR is linear in its shock terms, the stochastic driving force may be viewed as coming from the six impulse response functions rather than from the single multivariate shock term. Monte Carlo and other stochastic models for computing and illustrating the financial risks that retirees face. The result is a stochastic catalog of potential storms with more realistic wind footprints. According to all fitting criteria, it is a purely stochastic process obeying the Poisson statistics. Metastability refers to the fact that the stochastic process remains trapped in some regions of the configuration space for very long times. Show More Sentences The final chapter works with examples of stochastic process for LAN, LAMN, and LAQ type local asymptotics. But how, in general, do stochastic processes with purpose-equivalent outcomes fit in with our understanding of God's actions? The stochastic processes resulting from these interactions between development and functioning should lead us to improve the proposed formalism. This model does not take into account spatial and stochastic processes of SARS transmission. Its relative strength index fell to 36, with 30 and under considered oversold, while its slow stochastic fell into oversold territory. Lin's text is not intended to provide a complete background in probability theory and stochastic processes. It therefore has been used repeatedly for financial applications as the unconditional return distribution and for stochastic mortality modeling. These are the examplary data, to which the stochastic algorithm developed in the present paper is applied. Interestingly, unlike the vanilla SGD algorithm, the stochastic normalized gradient descent algorithm provably requires a minimal minibatch size. In fluid dynamics, turbulence or turbulent flow is a flow regime characterized by chaotic, stochastic property changes. Theoretical approaches to syntax that are based upon probability theory are known as stochastic grammars. A more sophisticated variation of the above methodology is to use a logically constructed stochastic asset model that calculates a probability distribution of long-term investment returns by asset class. This amplifying effect, known as stochastic resonance, has recently circuits in a number of electronic circuits and in specially contrived laser systems. Reliability of wood systems subjected to stochastic live loads. His research interests lie in simulation, computational probability, queuing theory, statistical inference for stochastic processes and stochastic modeling. This uncertainty has been assessed by stochastic methods such as Monte Carlo modelling, Latin hypercube sampling, and sequential Gaussian simulation. This simple deterministic endowment process is the degenerate case of a stochastic economy with two Markovian states with a zero probability of remaining in the same state. A range of methods can be used, including simple cross tabulations, regressions, stochastic process modeling, factor analysis, cluster analysis, and experimental design. Other alternative theories propose that genetic drift is dwarfed by other stochastic forces in evolution, such as genetic hitchhiking, also known as genetic draft. Assessment of the dynamics of microparasite infections in genetically homogeneous and heterogeneous populations using a stochastic epidemic model. Show More Sentences Any performance analysis based on stochastic simulation is subject to the errors inherent in misspecifying the modeling assumptions, particularly the input distributions. To test the performance of the algorithm, the application of it has been shown in simple and U-shaped assembly line balancing problems with stochastic processing times. Our general setting features stochastic approximations of the cocoercive operator and stochastic perturbations in the evaluation of the resolvents of the set-valued operator. The fact that only a small fraction of cells infected with the reprogramming factors form iPSC colonies indicates that direct reprogramming is a stochastic process. The aim of the stochastic watershed Angulo and Jeulin is to estimate for each point of the contours of a standard watershed a probability of detection from random markers. Examples from Classical Literature In the absence of perfect matching, the random obligations and stochastic appreciator of the assets diverge over time. Probability cubes also provide an excellent QC tool and generate information equivalent to many stochastic inversions. Other topics include probability theory, two-dimensional random walk, stochastic calculus, fractional calculus and its applications, and percolation theory. Find more words! 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What is the opposite of stochastic? Words that rhyme with stochastic What is the adverb for stochastic? What is the adjective for stochastic? What is the noun for stochastic? Use our Sentence Generator Nearby Words stobs stobie stob stoats stoat stoa stochastically stochasticity stock stockade stockades stockbreeder 10-letter Words Starting With s st sto stoc stoch stocha stochas stochast stochasti